Theoretic Analysis And Experimental Validation Of Phase-Inversion Symmetric Method

As early as 1948, Shannon educed channel capacity formula and proved Shannon theorem. Shannon information theory came through 60 years as yet. With directions of Shannon information theory, classical communication theory and communication technology fast developed. Shannon information theory played an important role in the domain of data compression, error control and extend-frequency communication.However, Shannon information theory was based on SISO system and AWGN. Shannon channel capacity formula was educed in this condition. When noise amplitude is not Gaussian distribution or noise power spectrum is not uniform distribution, Shannon formula can't be used directly.Nowadays, with the development of mobile communication and network communication technology, communication system developed from AWGN and SISO system to non Gaussian noise and MIMO system. Non Gaussian noise has correlation, which cause that there is potential signal rate in channel. Therefore, the research on noise correlation is more and more important. Phase-Inversion Symmetric Method is a simple and effective method what makes use of the correlation of adjacent channel noise. In recent years, the application of this method to the domain of time, frequency, space was acquired. But its basic theory is not perfect. The research on noise correlation must be in-depth carry through.This paper clarifies PISM basic theory by the research on internal principle, founds integrated theory system and provides theoretic foundations of PISM extending and application. As follows, its main contents are:1. Discuss noise correlation between adjacent channels and give test measure of correlation coefficient. The following three conclusions are drawn from test data.①noise correlation coefficient between adjacent frequency becomes more with less of band width.②noise correlation coefficient between adjacent space becomes more with less of distance.③noise correlation coefficient in invariable parameter channels does not change with time.2. Discuss actual channel capacity. Clarify that Shannon channel capacity was educed in AWGN condition. When channel noise is not Gaussian, actual channel capacity is more than Shannon channel capacity. Thereby, signal rate in PISM system exceeds Shannon channel capacity is supported in theory.3. Theoretic analysis and experimental validation for the application of PISM in frequency, time and space domain are carried through respectively.①analysis DSB system based on PISM and validate that SNR gain of the system can achieve 30dB or more by simulation.②simulate the relation between BER and SNR of 2FSK system and find that its BER is less than classical theory value. By theoretic analysis, find that 2FSK system is an application of PISM in frequency domain. It can restrain noise effectively using noise correlation of adjacent frequency.③according to time domain PISM model, in band-limited AWGN condition, count adjacent time noise correlation coefficientβ=0.167 and system SNR gain G=3.1. And that, simulation results equal to count results in substance. In classical theory,β=0 and G=2, which differ from simulation result.④discuss space domain PISM and give diversity receive method based on PISM.4. Compared with traditional method, PISM advantage is opened out.